Base | Representation |
---|---|
bin | 1111100000000… |
… | …10111110100100 |
3 | 100001200111100002 |
4 | 13300002332210 |
5 | 231242114440 |
6 | 20523040432 |
7 | 3136166411 |
oct | 760027644 |
9 | 301614302 |
10 | 130035620 |
11 | 67446760 |
12 | 37670118 |
13 | 20c2ba70 |
14 | 133ad108 |
15 | b639115 |
hex | 7c02fa4 |
130035620 has 96 divisors (see below), whose sum is σ = 337841280. Its totient is φ = 41333760.
The previous prime is 130035617. The next prime is 130035637. The reversal of 130035620 is 26530031.
It is a super-3 number, since 3×1300356203 (a number of 25 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (20).
It is a junction number, because it is equal to n+sod(n) for n = 130035592 and 130035601.
It is an unprimeable number.
It is a pernicious number, because its binary representation contains a prime number (13) of ones.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53144 + ... + 55536.
It is an arithmetic number, because the mean of its divisors is an integer number (3519180).
Almost surely, 2130035620 is an apocalyptic number.
130035620 is a gapful number since it is divisible by the number (10) formed by its first and last digit.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 130035620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168920640).
130035620 is an abundant number, since it is smaller than the sum of its proper divisors (207805660).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
130035620 is a wasteful number, since it uses less digits than its factorization.
130035620 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2445 (or 2443 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 20.
The square root of 130035620 is about 11403.3161843387. The cubic root of 130035620 is about 506.6259652977.
Adding to 130035620 its reverse (26530031), we get a palindrome (156565651).
The spelling of 130035620 in words is "one hundred thirty million, thirty-five thousand, six hundred twenty".
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